58064497920 has 1152 divisors, whose sum is σ = 250538803200. Its totient is φ = 12541132800.

The previous prime is 58064497873. The next prime is 58064497927. The reversal of 58064497920 is 2979446085.

58064497920 is a `hidden beast` number, since 5 + 8 + 0 + 64 + 497 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58064497927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153204291 + ... + 153204669.

It is an arithmetic number, because the mean of its divisors is an integer number (217481600).

Almost surely, 2^58064497920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58064497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125269401600).

58064497920 is an abundant number, since it is smaller than the sum of its proper divisors (192474305280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58064497920 is a wasteful number, since it uses less digits than its factorization.

58064497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 58064497920 in words is "fifty-eight billion, sixty-four million, four hundred ninety-seven thousand, nine hundred twenty".